A Modification of Minimal Residual Iterative Method to Solve Linear Systems. (26th April 2009)

• Record Type: Journal Article
• Authors: Sheng, Xingping; Su, Youfeng; Chen, Guoliang
• Other Names: Steindl Alois Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2009(2009)
• Publication Date: 2009-04-26
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2009/794589
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : We give a modification of minimal residual iteration (MR), which is 1V-DSMR to solve the linear system A x = b . By analyzing, we find the modifiable iteration to be a projection technique; moreover, the modification of which gives a better (at least the same) reduction of the residual error than MR. In the end, a numerical example is given to demonstrate the reduction of the residual error between the 1V-DSMR and MR.